Least Common Multiple of 45/832, 772/741, 293/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/832, 772/741, 293/891 quickly i.e. 10178820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/832, 772/741, 293/891 is 10178820.

LCM(45/832, 772/741, 293/891) = 10178820

LCM of 45/832, 772/741, 293/891

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 45/832,772/741,293/891

Given numbers are 45/832,772/741,293/891

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 45,772,293

Least Common Multiple of Numerators i.e. LCM of 45,772,293 is 10178820.

GCF of Denominators means GCF of 832,741,891 as per the given fractions.

GCF of 832,741,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,772,293

LCM of Fractions 45/832,772/741,293/891 is 10178820

Given numbers has no common factors except 1. So, there LCM is their product i.e 10178820

Least Common Multiple of 45,772,293 with GCF Formula

Least Common Multiple of 45,772,293 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 45,772,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,772,293) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(45,772,293) x common factors =1 x 1 = 1

LCM(45,772,293) = ( 45 × 772 × 293 ) / 1

LCM(45,772,293) = 10178820 / 1

LCM(45,772,293) = 10178820


Lets's calculate GCF of 832,741,891

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10178820/1

Therefore the LCM of Fractions 45/832,772/741,293/891 is 10178820

Greatest Common Factor of 832,741,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,741,891 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 832,741,891 . The biggest common factor number is the GCF number.
So the greatest common factor 832,741,891 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/832, 772/741, 293/891

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 45/832, 772/741, 293/891?

Answer: LCM of Numerators as per given numbers 45/832, 772/741, 293/891 is

LCM of Numerators i.e. for 45,772,293 is 10178820

GCF of denominators i.e. for 832,741,891 is 1.

Thus, LCM of Fractions is 10178820.Finally, LCM of Fractions for 45/832, 772/741, 293/891 is 10178820.